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Finding the Fourth Proportional to 324.32, 447.44 and 213.84

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Solution

The fourth proportional to 324.32, 447.44 and 213.84 is: 295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 447.44 = 213.84 : x
  2. Step 2: Convert to fraction form
    324.32/447.44 = 213.84/x
  3. Step 3: Cross multiply
    324.32x = 447.44 × 213.84
  4. Step 4: Simplify right side
    324.32x = 95,680.57
  5. Step 5: Solve for x
    x = 95,680.57/324.32
  6. Step 6: Final answer
    x = 295.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.